It follows from the double angle identity for sine,
sin(2x) = 2 sin(x) cos(x),
that
2 cos(75º) sin(75º) = sin(2•75º) = sin(150º)
Alternatively, recall that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
Adding these together gives
sin(x + y) + sin(x - y) = 2 sin(x) cos(y)
Set x = y = 75º; then
2 sin(75º) cos(75º) = sin(75º + 75º) + sin(75º - 75º)
2 sin(75º) cos(75º) = sin(150º)
2 cos 75° . Sin 75° = Sin 150°
Notice:
Sin 150 º = Sin 30°
See that Sin 75° = Cos 15°
Cos 75° = Sin 15°
So :
2Cos 75° . Sin 75° = 2 Sin 15°Cos°15 = Sin 30°
helpppppppppppppppppppppppppppppppppp
The 1st pic is D
The 2nd pic is 8 units
How many integers are there…
Between m and n, including m and n,
Between m and n, not including m and n?
Answer:
there are infinite integers.
What is the value of y
Answer: y=54
Step-by-step explanation: since a triangles angles =180 and you just have this equation 180-72=2y that equals 108=2y
Answer:
The answer is B. 54 degrees.
Step-by-step explanation:
A triangle must be 180 degrees when all three angles are added together. 180 minus 72 is 108 degrees, which you have to divide by two, because there are two y values.
You can check this by adding 72 plus 54 plus 54 to get 180 degrees total.
What is the slope of the line y = 8?
Answer:
the slope of the line y=8 is 0
Step-by-step explanation:
0
Solve for y
5x + y = -10
Answer:
y=-(x/5)-2
Step-by-step explanation:
5x + y = -10
y=-(x/5)-2
Find the mean absolute deviation for the set below.
104, 86, 357, 532, 70, 93, 260, 89, 171, 429
Answer:
430
Step-by-step explanation:
Answer: 430
Step-by-step explanation:
Zinnia and Ruby earn $58 per week for delivering pizzas. Zinnia worked for x weeks and earned an additional total bonus of $13. Ruby worked for y weeks. Which expression shows the total money, in dollars, that Zinnia and Ruby earned for delivering pizzas?
Answer:
x + y + 13
Step-by-step explanation:
I'm not really sure. I hope this helps!! :3
What operation do you do to the exponents when you are told to multiply ?
What property is this called
5(3x+6)
Solve the following problem 2x+4+5x=8x-6
PLEASE I NEED HELP URGENT
Answer:15x+-2
Step-by-step explanation:
you add 2x+5x+8x=15x
then you add 4+-6
Plot the points (-8,7) and (5,7) on the coordinate plane below
Answer:
ok here you go
Step-by-step explanation:
i cant really plot them for you but i will help explain how to plot them.
the x-axis is the horizontal plane on the graph. the y-axis is the vertical plane on the graph. every coordinate has both a x and y point.
for you the x would be -8 and the y would be 7. first, you would go accross the x-axis to -8 and then go up to positive seven. you would be in the fourth quadrent in the graph. then you would do the same to the other pair. remember, (x,y)
Which describes a correct way to construct a scatterplot?
A) When analyzing the number of home runs that a baseball player hit over several seasons, the season is the independent variable.
B) When analyzing the number of umbrellas that are sold during days with varying amounts of rain, the number of umbrellas that are sold is the independent variable.
C) When analyzing the number of registered voters by age, age is the dependent variable.
D)When analyzing the number of students that ride the school bus each day of the week, the day is the dependent variable.
Answer:b
Step-by-step explanation:
Took quiz
Answer:
A
Step-by-step explanation:
I took the test
URGENT
The volume of a sphere with a radius of 5 cm is approximately _[blank]_ cm3.
Enter the value that correctly fills in the blank in the previous sentence.
Use 3.14 for π, and round your answer to the nearest hundredths place if necessary.
Answer: The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a sphere (V) = 4/3 π radius³
Replacing with the values given and solving for V (volume)
V = 4/3 (3.14) 5³ = 4/3 (3.14) 125= 523.33 cubic centimeters
The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.
Feel free to ask for more if needed or if you did not understand something.
When choosing an alternative to using credit, you can______________________________ a. take advantage of sale prices. c. borrow from a friend. b. pay with your savings. d. apply for a loan.
Pay with your savings because you can save money until you have enough to pay for something.
Convert the weight from kilograms to grams. Write your answer in standard form.
8.3×10^−6 kg = ___ g
Answer:
83g
Step-by-step explanation:
Answer:
0.00829999999984360089 grams
Step by step
8.2999999998436e-6 converts to 0.00829999999984360089
2x + 3y = 6
x y
0 2
3 0
A line is described using the equation 2x + 3y = 6. The table lists the coordinates of two points on the line, the y-intercept and the x-intercept. Find the slope of this line.
A) The slope is 2.
B) The slope is 3.
C) The slope is −3/2
D) The slope is −2/3
Answer:
D)The slope is -2/3
Step-by-step explanation:
First, put this equation in slope-intercept form by subtracting 2x on both sides:
2x+3y=6
-2x. -2x
Your equation should be:3y=-2x+6
Then, divide the whole equation by 3 since y has to be by itself
3y=-2x+6
---- ------
3. 3
Your equation should be y=-2/3x+6
Since the slope in slope-intercept form is m in y=mx+b, -2/3×=m
Final answer:D) The slope is -2/3
−6x+14<−28 OR 9x+15≤−12
Answer:x>7 or x ≤ -3
Solving the 1st inequality
-6x +14 < -28 --------------- (Collect like terms)
-6x < -28 - 14
-6x < - 42 -------------------- (Divide both sides by -6)
Note: If you decide an inequality expression by a negative value, the inequality sign changes)
-6x/-6 > -42/-6
x > 7
Solving the 2nd inequality
9x + 15 ≤ −12 ----------- (Collect like terms)
9x ≤ −12 - 15
9x ≤ −27 ------------------(Divide both sides by 9)
9
9x/9 ≤ −27/9
x ≤ -3
Bring both results together, we get
x>7 or x ≤ -3
The final result is complex (i.e. can't be combined together).
Step-by-step explanation:
Answer:
x> 7 OR x ≤−3
Step-by-step explanation:
−6x+14<−28 OR 9x+15≤−12
Solve them separately and then put back together
−6x+14<−28
Subtract 14 from each side
-6x +14-14 <-28-14
-6x <-42
Divide each side by -6, remembering to flip the inequality
-6x/-6 > -42/-6
x> 7
9x+15≤−12
Subtract 15 from each side
9x +15-15 ≤−12 -15
9x ≤−27
Divide each side by 9
9x/9 ≤−27/9
x ≤−3
What is the total surface area of the cone?
Answer:
≈522.92
Step-by-step explanation:
A= π r ( r+ [tex]\sqrt{h^{2} +r^{2} }[/tex])
Plug your givens in = π · 8 ·([tex]\sqrt{10^{2}+8^{2} }[/tex])
≈ 522.91806
The price of gasoline was 96¢ a gallon
before it went up 25%. How much did
it go up?
Bella wants to know how tall the oak tree in her back yard is, so she picks
a point that is 75 feet away from the base of the tree. She measures the
angle of elevation to be 40° from this point to the top of the tree. To the
nearest tenth of a foot, how tall is
A-89.4 feet
B-62.9 ft
C-48.2 ft
D-57.5 ft
Answer:
B = 62.9ft
Step-by-step explanation:
The distance where she is from the oak tree is 75ft,
The angle of elevation the stone makes with the top of the oak tree is 40°
The height of the tree is x ft
See attached document for better illustration
Using SOHCAHTOA,
Tanθ = opposite/ adjacent
θ = 40°
Opposite = x ft
Adjacent = 75ft
Tan40 = x / 75
X = 75 × tan40
X = 75 × 0.8390
X = 62.92ft
The height of the oak tree is 62.9ft
im braindead, i dont know.
Answer:
-8-(-11)-7= -4
B
Plug it in. Hope this helped!
You are given these direccions begin at the origin move right 4 units then down 3 units what ordered pair have you just graphed
Answer:
(4, -3)
Step-by-step explanation:
The origin is at (0,0). When you move right or left, you change the x-coordinate, or the first coordinate. You moved right which is in the positive direction so now your coordinate is (4,0).
When you move up or down, you change the y-coordinate, or the second coordinate. You moved down which is in the negative direction so your final coordinate is (4, -3).
Answer:
4,-3
Step-by-step explanation:
i got it
Evaluate |15-15|
If you could also explain it to me I’d appreciate.
your answer is 0
Step-by-step explanation:
will mark as bianleast
Which is point (3, –5) on the graph?
G
H
J
K
Answer:
H is the point (3,-5) in the graph
Which of the following is a parent function?
Answer:
D
Step-by-step explanation:
D is a parent function because it is in the form of [tex]y=x^{2}[/tex]. Normal functions have the equation [tex]y=ax^2+bx+c[/tex].
answer need FAST plz.
Answer:
-5
Step-by-step explanation:
5*-5=-25
5*1=5
A negative plus positive decreases in value
so -25+5=-20
what’s the verdict boys
Answer:
[tex]y=\frac{1}{26}x-2[/tex]
Step-by-step explanation:
[tex]x-26y=52\\\mathbf{y=mx+b}\:\mathrm{is\:the\:slope\:intercept\:form\:of\:a\:line\:where}\:\mathbf{m}\:\mathrm{is\:the\:slope\:and}\:\mathbf{b}\:\mathrm{is\:the}\:\mathbf{y}\:\mathrm{intercept}\\\mathrm{Convert\:to\:slope\:intercept\:form}:\quad y=\frac{1}{26}x-2\\x-26y=52\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\x-26y-x=52-x\\\mathrm{Simplify}\\-26y=52-x\\\mathrm{Divide\:both\:sides\:by\:}-26\\\frac{-26y}{-26}=\frac{52}{-26}-\frac{x}{-26}[/tex][tex]\mathrm{Simplify}\\\frac{-26y}{-26}=\frac{52}{-26}-\frac{x}{-26}\\\mathrm{Simplify\:}\frac{-26y}{-26}:\quad y\\\frac{-26y}{-26}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{26y}{26}\\\mathrm{Divide\:the\:numbers:}\:\frac{26}{26}=1\\=y[/tex]
[tex]\mathrm{Simplify\:}\frac{52}{-26}-\frac{x}{-26}:\quad -\frac{52-x}{26}\\\frac{52}{-26}-\frac{x}{-26}\\\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{52-x}{-26}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{52-x}{26}\\y=\frac{1}{26}x-2\\\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=\frac{1}{26}x-2[/tex]
Josh has a rewards card for a movie theater. He receives 15 points for becoming a rewards card holder. He earns 3.5 points for each visit to the movie theater. He needs at least 55 points to earn a free movie ticket. Which inequality can Josh use to determine x, the minimum number of visits he need s to earn his first free movie ticket? *
a. 55 ≥ 3.5x + 15
b. 55 ≥ 15x + 3.5
c. 55 ≤ 3.5x + 15
d. 55 ≤ 15x + 3.5
Answer:
C. 55 [tex]\leq[/tex] 3.5x + 15
Step-by-step explanation:
i found it on google
Answer:
c
Step-by-step explanation:
Can a rational number be subtracted by a irrational number an equal a rational number?
Answer:
No
Step-by-step explanation:
The sum of a rational number and an irrational number is irrational.
guys 100 points. What is the formula of a cube?
Answer:
L x W x H
Yeet
:3
helpppp asappp
solve 2|x+1|=8
Answer:
x = 3 x = -5
Step-by-step explanation:
2|x+1|=8
Divide each side by 2
2/2|x+1|=8/2
|x+1| = 4
There are two solutions to an absolute value, one positive and one negative
x+1 = 4 x+1 = -4
Subtract 1 from each side
x+1 -1 = 4-1 x+1-1 = -4-1
x = 3 x = -5
Answer:
x=3 and -5
Step-by-step explanation:
to start with when you work with equations there will be two answers, no solution set or the answer will be 0. in this case there are two answers.
2/x+1/=8(first you remove all the things that are extra to the equation)
2 2
/x+1/=4 in this case it has two answers because 4 is greater than 0.
so you remove the bracket.
x+1=4 or x+1=-4
x=4-1 x=-4-1
x=3 x=-5
A local diner purchased a jukebox for 9400. The business makes a down payment of 1000 and agrees to pay 36 payments of 275 per month find the finance charge.
$10,900
$3,600
$1, 500
$8,400
Answer:
Option (3). $1500
Step-by-step explanation:
Cost price of the jukebox = $9400
Down payment made by the diner = $1000
Diner agreed to pay the rest amount by $275 per month for 36 months
Total amount to be paid by the diner = Down payment + monthly payments
= 1000 + 275×36
= 1000 + 9900
= $10900
Finance charge = 10900 - 9400
= $1500
Therefore, option (3). 1500 will be the answer.